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Finding the Third Proportional to 301.14 and 446.49

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Solution

The third proportional to 301.14 and 446.49 is: 661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 446.49 = 446.49 : x
  2. Step 2: Convert to fraction form
    301.14/446.49 = 446.49/x
  3. Step 3: Cross multiply
    301.14x = 446.49 × 446.49
  4. Step 4: Simplify right side
    301.14x = 199,352.22
  5. Step 5: Solve for x
    x = 199,352.22/301.14
  6. Step 6: Final answer
    x = 661.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.